198016199640 has 896 divisors, whose sum is σ = 787570680960. Its totient is φ = 43858132992.

The previous prime is 198016199629. The next prime is 198016199653. The reversal of 198016199640 is 46991610891.

198016199640 is a `hidden beast` number, since 19 + 8 + 0 + 1 + 619 + 9 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×198016199640² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1445373652 + ... + 1445373788.

It is an arithmetic number, because the mean of its divisors is an integer number (878985135).

Almost surely, 2^198016199640 is an apocalyptic number.

198016199640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198016199640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393785340480).

198016199640 is an abundant number, since it is smaller than the sum of its proper divisors (589554481320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198016199640 is a wasteful number, since it uses less digits than its factorization.

198016199640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 198016199640 in words is "one hundred ninety-eight billion, sixteen million, one hundred ninety-nine thousand, six hundred forty".